3 papers
math.CO2026
Ascending Convex Polyominoes
Nicholas Beaton, Simone Rinaldi
Convex polyominoes can be refined according to the number of direction changes in monotone paths connecting pairs of cells, leading to the notion of -convexity. In particular, t…
math.CO2025
Completing the enumeration of inversion sequences avoiding triples of relations
Nathan Britt, Nicholas Beaton
An inversion sequence of length is an integer sequence such that for all . The study of pattern-avoiding inversion sequences was initiat…
math.GT2025
Entanglement statistics of polymers in a lattice tube and unknotting of 4-plats
Nicholas R. Beaton, Kai Ishihara, Mahshid Atapour +4
The Knot Entropy Conjecture states that the exponential growth rate of the number of -edge lattice polygons with knot-type is the same as that for unknot polygons. Moreover,…